What is join 1/3 ln(3+2sqrt(2)) ?

The solution to join 1/3 ln(3+2sqrt(2)) is ln((3+2sqrt(2))^{1/3})

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join 1/3 ln(3+2sqrt(2))

join

\frac{1}{3} ln (3 + 22)

ln ((3 + 22)^{\frac{1}{3}})

Decimal Notation

0.58758 \dots

Solution steps

\frac{1}{3} ln (3 + 22)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{1}{3} ln (3 + 22) = ln ((3 + 22)^{\frac{1}{3}})

= ln ((3 + 22)^{\frac{1}{3}})

ln (\frac{1}{499})

ln (17 e)

- lo g_{10} (4.6 \cdot 1 0^{- 5})

5 ln 1 0^{x} (2 x^{6} + 2)^{2} + 9 ln 7 x^{2} - 8

ln ∣ tan (3 x) + sec (3 x) ∣ + \frac{1}{3} ln ∣ cos (3 x) ∣ + C

What is join 1/3 ln(3+2sqrt(2)) ?
The solution to join 1/3 ln(3+2sqrt(2)) is ln((3+2sqrt(2))^{1/3})